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Finding the Fourth Proportional to 24,765.86, 37,148.66 and 6,046.00

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Solution

The fourth proportional to 24,765.86, 37,148.66 and 6,046.00 is: 9,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.86 : 37,148.66 = 6,046.00 : x
  2. Step 2: Convert to fraction form
    24,765.86/37,148.66 = 6,046.00/x
  3. Step 3: Cross multiply
    24,765.86x = 37,148.66 × 6,046.00
  4. Step 4: Simplify right side
    24,765.86x = 224,600,612.62
  5. Step 5: Solve for x
    x = 224,600,612.62/24,765.86
  6. Step 6: Final answer
    x = 9,068.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.